From a practical point of view, It looks like an interesting demo, but I don't think it has too many applications. I only can imagine that it may be useful as a sterilization process, whatever virus or bacteria that is in the solution will be extremely unhappy with so much H2 and O2 around. The flame and the small risk of an explosion is a problem.
From a theoretical point of view, it's easy to model isolated small molecules. Big molecules or combination of molecules is exponentially more difficult, like in ~exp(5*N) where N is the number of atoms and 5 is an oversimplification. There are some approximations that reduce it to a polynomial time like ~(5N)^12 or ~(5N)^9 less if you use more approximations. And with more approximations you can calculate it in linear time that is very useful for biochemistry that are interested in big molecules. Anyway, most of these methods assume that atoms don't move, or don't move too much, or use a lot of simplifications.
Simulation water at the molecular level is a nightmare. You need to simulate many molecules, each one moving around, that form bounds between them that are not stable enough to simulate like a fixed length, but stable enough to be ignored. And now you need to add a strong electromagnetic field to the mix, and the nightmare is upgraded to the Freddy Krueger level.
"Effects of different parameters on the efficiency of electrode-less water splitting", sounds like an acceptable topic for a bachelor thesis for example ;)
It's just that most papers pretend that the result has some practical or theoretical application, and I think it's difficult to get one.
I'd want to know how the Hydrolysis effect varies as a function of EM frequency and salt composition. Hypothetically, different EM frequencies could produce resonance effects in water. Basically, I'm curious how the flame might grow bigger at different EM frequencies.
If anyone has any access to EM equipment like this, I'd definitely pay $1000 to catalyze. Seriously! I haven't been this curious about a physics phenomena since I learned about sonoluminescent bubble implosions "Mysterious Glowing Bubbles". Seriously. https://www.newswise.com/articles/mysterious-glowing-bubbles
RIP Dr. Apfel, he was a big influence on me.
I know Alan McGaughey at CMU does water modeling at a molecular level, pretty cool stuff: https://scholar.google.com/citations?user=HmNtygkAAAAJ&hl=en
I expect it will first be studied by YouTubers like "the plasma channel".